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Finding the Third Proportional to 77,204 and 165,112

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Solution

The third proportional to 77,204 and 165,112 is: 353,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,204 : 165,112 = 165,112 : x
  2. Step 2: Convert to fraction form
    77,204/165,112 = 165,112/x
  3. Step 3: Cross multiply
    77,204x = 165,112 × 165,112
  4. Step 4: Simplify right side
    77,204x = 27,261,972,544
  5. Step 5: Solve for x
    x = 27,261,972,544/77,204
  6. Step 6: Final answer
    x = 353,116.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.